A Few Squares from


The 18th Century mathematician Leonhard Euler made a square where each horizontal or vertical row totals 260, stopping halfway on each gives 130. Even more intriguing is that a chess knight, starting its L-shaped moves from box 1, can hit all 64 boxes in numerical order.

Mathematics (1980)

Planetarium slides

Closets, attics, and basements are our time capsules. In my final days, I have been excavating mine while reflecting upon a lifetime of accumulations from Target, Wally-World, and Beyond. Among the rubble, I have discovered eighteen boxes, each approximately 8 x 8 x 4 inches, constructed of plexiglass. Contained within each box are objects somehow related to NASA's Voyager II mission to explore the planets. Each box contains a chess knight unique in material and design, some polyhedral dice, and various trinkets common to the debris dispersed randomly throughout a typical thrift shop. Each is backed by an acrylic painting depicting a planetary surface based on a Voyager II photo.

A large scrapbook of related notes and clippings labeled PLANETARIUM was discovered in a hallway closet. These notes indicate that I constructed the first voyager square during the winter solstice of 1985 as Voyager II approached its Uranian flyby. Included in the scrapbook are quotes and references for a proposed master's thesis in metamathematics. However, no copy of any completed thesis has as yet been located. Selected notes from this scrapbook are collected on the following pages.